SHOCK-CAPTURING

作品数:16被引量:14H指数:2
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相关领域:理学更多>>
相关期刊:《Acta Mechanica Sinica》《Advances in Applied Mathematics and Mechanics》《Journal of Computational Mathematics》《Applied Mathematics and Mechanics(English Edition)》更多>>
相关基金:国家自然科学基金中国航空科学基金更多>>
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On the Solution Accuracy Downstream of Shocks When Using Godunov-Type Schemes.I.Sources of Errors in One-Dimensional Problems
《Communications in Computational Physics》2023年第8期749-786,共38页Alexander V.Rodionov 
supported by the Russian Science Foundation(project 22-11-00199).The author would like to thank Tatiana Zezyulina for the qualified assistance in English and the reviewers for their helpful comments.
The article opens a series of publications devoted to a systematic study of numerical errors behind the shock wave when using high-order Godunov-type schemes,including in combination with the artificial viscosity appr...
关键词:Shock-capturing methods Riemann problem WENO reconstruction Runge-Kutta method Hancock-Rodionov method artificial viscosity approach Shu-Osher test problem 
Analysis of Discontinuity Detectors and Hybrid WCNS Schemes Based on Waveform Recognition
《Communications in Computational Physics》2023年第7期418-455,共38页Hao Zhang Yidao Dong Shichao Zheng Xiaogang Deng 
supported by the National Natural Science Foundation of China(grant Nos.11972370,92252101,11927803).
In this paper,we present a hybrid form of weighted compact nonlinear scheme(WCNS)for hyperbolic conservation laws by applying linear and nonlinear methods for smooth and discontinuous zones individually.To fulfill thi...
关键词:WCNS waveform detection troubled-cell indicator SHOCK-CAPTURING hybrid scheme 
Simple and robust h-adaptive shock-capturing method for flux reconstruction framework被引量:1
《Chinese Journal of Aeronautics》2023年第7期348-365,共18页Lintao HUANG Zhenhua JIANG Shuai LOU Xin ZHANG Chao YAN 
supported by the National Natural Science Foundation of China(No.11721202).
In this paper,a simple and robust shock-capturing method is developed for the Flux Reconstruction(FR)framework by combining the Adaptive Mesh Refinement(AMR)technique with the positivity-preserving property.The adapti...
关键词:Adaptive mesh refinement Flux reconstruction Positivity-preserving scheme Robustness SHOCK-CAPTURING 
TWO-STAGE FOURTH-ORDER ACCURATE TIME DISCRETIZATIONS FOR 1D AND 2D SPECIAL RELATIVISTIC HYDRODYNAMICS被引量:1
《Journal of Computational Mathematics》2020年第5期768-796,共29页Yuhuan Yuan Huazhong Tang 
The authors were partially supported by the Special Project on High-performance Computing under the National Key R&D Program(No.2016YF B0200603);Sci-ence Challenge Project(No.JCK Y2016212A502);the National Natural Science Foundation of China(Nos.91630310&11421101).
This paper studies the two-stage fourth-order accurate time discretization[J.Q.Li and Z.F.Du,SIAM J.Sci.Comput.,38(2016)]and its application to the special relativistic hydrodynamical equations.Our analysis reveals th...
关键词:Time discretization Shock-capturing scheme GRP method Relativistic hydrodynamics Hyperbolic conservation laws 
ASecond-Order Finite-Difference Method for Compressible Fluids in Domains with Moving Boundaries
《Communications in Computational Physics》2018年第1期230-263,共34页Alina Chertock Armando Coco Alexander Kurganov Giovanni Russo 
The work of A.Chertock was supported in part by the NSF Grants DMS-1216974 and DMS-1521051;The work of A.Kurganov was supported in part by the NSF Grants DMS-1216957 and DMS-1521009;The work of G.Russo was supported partially by the University of Catania,Project F.I.R.Charge Transport in Graphene and Low Dimensional Systems,and partially by ITN-ETN Horizon 2020 Project Mod Comp Shock,Modeling and Computation on Shocks and Interfaces,Project Reference 642768.
In this paper,we describe how to construct a finite-difference shockcapturing method for the numerical solution of the Euler equation of gas dynamics on arbitrary two-dimensional domainΩ,possibly with moving boundary...
关键词:Compressible fluids Euler equations of gas dynamics ghost-cell extrapolation moving boundaries finite-difference shock-capturing methods 
Interaction of weak free-stream disturbance with an oblique shock: validation of the shock-capturing method被引量:2
《Applied Mathematics and Mechanics(English Edition)》2017年第11期1601-1612,共12页Caihong SU Jinlei GENG 
supported by the National Natural Science Foundation of China(Nos.11472188 and11332007);the National Key Research and Development Program of China(No.2016YFA0401200)
Transition prediction is of great importance for the design of long distance flying vehicles. It starts from the problem of receptivity, i.e., how external disturbances trigger instability waves in the boundary layer....
关键词:shock high speed flow free-stream disturbance SHOCK-CAPTURING 
A new three-dimensional finite-volume non-hydrostatic shock-capturing model for free surface flow
《Journal of Hydrodynamics》2017年第4期552-566,共15页Francesco Gallerano Giovanni Cannata Francesco Lasaponara Chiara Petrelli 
In this paper a new finite-volume non-hydrostatic and shock-capturing three-dimensional model for the simulation of wave-structure interaction and hydrodynamic phenomena(wave refraction, diffraction, shoaling and bre...
关键词:Three-dimensional simulation non-hydrostatic wave-structure interaction flow-structure interaction shock-capturing 
A Hybrid Finite-Volume and Finite Difference Scheme for Depth- Integrated Non-Hydrostatic Model被引量:1
《China Ocean Engineering》2017年第3期261-271,共11页YIN- Jing SUN Jia-wen WANG Xing-gang YU Yong-hai SUN Zhao-chen 
supported by the State Ocean Administration People’s Republic of China(Grant No.201405025);the Key Laboratory for Sea Area Management Technology(SOA)(Grant No.201603)
A depth-integrated, non-hydrostatic model with hybrid finite difference and finite volume numerical algorithm is proposed in this paper. By utilizing a fraction step method, the governing equations are decomposed into...
关键词:non-hydrostatic model SHOCK-CAPTURING wave breaking finite volume method MUSTA scheme 
A Straightforward hp-Adaptivity Strategy for Shock-Capturing with High-Order Discontinuous Galerkin Methods被引量:1
《Advances in Applied Mathematics and Mechanics》2014年第1期135-144,共10页Hongqiang Lu Qiang Sun 
the foundation of the National Natural Science Foundation of China(11272152);the Aeronautical Science Foundation of China(20101552018)。
In this paper,high-order Discontinuous Galerkin(DG)method is used to solve the two-dimensional Euler equations.A shock-capturing method based on the artificial viscosity technique is employed to handle physical discon...
关键词:HP-ADAPTIVITY shock capturing discontinuous Galerkin 
On Universal Osher-Type Schemes for General Nonlinear Hyperbolic Conservation Laws
《Communications in Computational Physics》2011年第8期635-671,共37页Michael Dumbser Eleuterio F.Toro 
financed by the Italian Ministry of Research(MIUR)under the project PRIN 2007 and by MIUR and the British Council under the project British-Italian Partnership Programme for young researchers 2008-2009。
This paper is concerned with a new version of the Osher-Solomon Riemann solver and is based on a numerical integration of the path-dependent dissipation matrix.The resulting scheme is much simpler than the original on...
关键词:Universal Osher-Solomon flux universal Roe flux high resolution shock-capturing finite volume schemes WENO schemes reconstructed discontinuous Galerkin methods PNPM schemes Euler equations gas dynamics ideal gas and real gas equation of state MHD equations relativistic MHD equations nonlinear elasticity 
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